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Finding the Fourth Proportional to 3,190.85, 4,789.29 and 1,960.65

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Solution

The fourth proportional to 3,190.85, 4,789.29 and 1,960.65 is: 2,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.85 : 4,789.29 = 1,960.65 : x
  2. Step 2: Convert to fraction form
    3,190.85/4,789.29 = 1,960.65/x
  3. Step 3: Cross multiply
    3,190.85x = 4,789.29 × 1,960.65
  4. Step 4: Simplify right side
    3,190.85x = 9,390,121.44
  5. Step 5: Solve for x
    x = 9,390,121.44/3,190.85
  6. Step 6: Final answer
    x = 2,942.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.